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`BookProof.ChapterF6.mgSum_ge_card` (T : α →₀ ℕ) : T.support.card ≤ mgSum T

Proved
BookProof.ChapterF6.mgSum_ge_card

by leonardopedro · Oct 8, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterF6.

BookProof.ChapterF6.mgSum_ge_card (T : α →₀ ℕ) : T.support.card ≤ mgSum T

Formalization note: Lean 4 identifier BookProof.ChapterF6.mgSum_ge_card.

Preamble
-- Generated from ChapterF6.lean — theorem BookProof.ChapterF6.mgSum_ge_card
import Mathlib
import Definitions.Def_ChapterF6
open BookProof.ChapterF6


open scoped BigOperators


variable {α : Type*} [DecidableEq α]
Formal statement
theorem BookProof.ChapterF6.mgSum_ge_card (T : α →₀ ℕ) : T.support.card ≤ mgSum T := by sorry

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